Question

i can break apart 4/5 into \\(\frac{3}{5} + \frac{1}{5}\\) to help me add.
write a mixed number to complete the equation.
\\(6\frac{2}{5} + \frac{4}{5} = 6\frac{2}{5} + \frac{3}{5} + \frac{1}{5}\\)
\\(= 7\\) \\(\frac{1}{5}\\)
key idea
build apart
how number and a fraction with the same denominator?
remove
i can? the mixed number or the fraction to help me add.

Explanation:

Step1: Add the fraction parts of the mixed number and $\frac{3}{5}$

First, we look at the mixed number $6\frac{2}{5}$ and add its fractional part $\frac{2}{5}$ with $\frac{3}{5}$. So, $\frac{2}{5}+\frac{3}{5}=\frac{2 + 3}{5}=\frac{5}{5}=1$.

Step2: Add the whole number and the result from Step 1, then add the remaining fraction

The whole number part of the original mixed number is 6. After adding the fractional parts to get 1, we now have $6 + 1=7$. Then we add the remaining fraction $\frac{1}{5}$. So combining 7 and $\frac{1}{5}$, we get the mixed number $7\frac{1}{5}$.

Answer:

$7\frac{1}{5}$